Analysis of Gutenberg-Richter b-value and mmax

Part II: Estimators for b-value

Authors

  • Mika Haarala Instituto de Estudios Interdisciplinarios de Ingeniería (IESIING) – Facultad de Ingeniería – UCASAL
  • Lía E. Orosco Segura

Keywords:

mmax - b, Gutenberg-Ritcher distribution function, Kijko Sellevoll estimator

Abstract

This report is the second of a series of three which have the main goal to achieve a method to estimate the parameters b and mmax that are essential when Gutenberg-Richter law is used for seismic hazard assessment. This paper is devoted to analyze the estimators of b-value.

We give an estimator for the expected value of M( N ) and an exact and numerically stable variance

for it; M( N ) represents the ordered values (by size) of magnitude catalogue.

We go on the development of the theory of Kijko-Sellevoll functions, applying them to calculate generalized b estimators of the seismic catalogue.

Author Biography

  • Mika Haarala, Instituto de Estudios Interdisciplinarios de Ingeniería (IESIING) – Facultad de Ingeniería – UCASAL

    Es MSC en Matematicas, por la Universidad de Joensuu, Finlandia. Es investigador del Instituto de Estudios intendisciplinarios de Ingenieria de la UCASAL, en el area de Matematica Aplicada y Estadistica. Miembro del Grupo de riesgo Sísmico, con varias publicaciones sobre el tema.

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Published

2016-12-16

Issue

No. 9 (2016)

Section

Artículos

How to Cite

Analysis of Gutenberg-Richter b-value and mmax : Part II: Estimators for b-value. (2016). Cuadernos de Ingeniería, 9, 79-106. https://revistas.ucasal.edu.ar/index.php/CI/article/view/146

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